Future Value Annuities (Grade 12 NSC Matric Mathematics): Flashcards

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Future Value Annuities
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Annuity definition

Equal payments at regular intervals for specific period

Future value annuity

Regular deposits earning compound interest for future use

Present value annuity

Regular payments to repay loan/bond with compound interest

Defaulting

Missing a payment for a particular month

Early deposits vs late deposits interest earned

Early deposits earn more interest (compound longer)

Future value formula

F=x(1+i)n−1iF = x\frac{(1 + i)^n - 1}{i}

Payment amount formula

x=F×i(1+i)n−1x = F \times \frac{i}{(1 + i)^n - 1}

FF in annuity formulas

Future value (total amount accumulated)

Sinking fund

Fund to save for replacing equipment/assets that depreciate

Monthly payment conversion

Divide annual rate by 12, multiply years by 12

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